Exam 2: Review of Basic Algebra

Evaluate P: P = for S = 1665,r = 0.14,t =

Solve: - x = -49

Solve: D = for F

A machine requires five hours to make a unit of Product A and six hours to make a unit of Product B.Last month the machine operated for 250 hours producing a total of 60 units.How many units of Product A were produced?

Following equation is used in carbon dating of the artefacts: N = × where, N = Decay rate of the artefact,expressed as disintegrations per minute (dpm) = Decay rate of natural carbon = 14 dpm τ = Mean life time = = = 8267 years t = Age of the artefact Calculate the age of the artefact,if the decay rate of the artefact is measured as 4 dpm

Simplify:

Simplify: -(4 - 6a)- (-8 + 6a)

Solve: P = S(1 + i)^-n for i

Solve: + 2x = $115.10

Compute:

Simplify: x + 0.16x

Evaluate the value of FV,if FV = PMT ,PMT = $750,i = 0.025,and n = 10.

A rubber tube 120 cm long is cut into two pieces so that the longer piece is 30 cm longer than twice the length of the shorter piece.What is the length of the longer piece?

Solve: 51 - 14x = -34 - x

Compute the value of

Calculate ln

Evaluate: 1⁶

Solve: 10(3 - x)+ 2(x - 2)= 6(2x - 2)

Evaluate K: K = for N = 112,C = 250,P = 2450,n = 24

The local amateur soccer club spent $1640 on tickets to a professional hockey game.If the club bought 2.5 times as many eight-dollar tickets than the number of twelve-dollar tickets and four fewer fifteen-dollar tickets than 7/10 the number of twelve dollar tickets,how many of each type of ticket did the club buy?